Physics 246
Quantum Theory
Spring 2007
Prof. Lynne Orr
orr@pas.rochester.edu
B&L451, x58528
Announcements:
Final exam Monday May 7, 8:30-11:30am, B&L 269. See here for more info.
Catalogue
entry -- generic course info
Syllabus and course info for Spring 2007
here
| Topic |
Chapter |
scanned notes |
| 1. Introduction/Review | | |
| 2. Postulates of QM | 3 | pdf |
| 3. Function Spaces and Hermitian Operators | 4 | pdf
|
| 4. Superposition, Compatible Observables | 5 | pdf
|
| 5. Time Development and Conservation Theorems | 6 | pdf
|
| 6. One-dimensional Problems | 7 |
pdf
|
| 7. Angular Momentum | 9 |
pdf
|
| 8. Three-dimensional Problems | 10 | |
| 9. Matrix Mechanics | 11 |
pdf1,pdf2
|
| 10. Perturbation Theory | 12 | pdf, pdf2
|
| 11. Scattering | 13 | time permitting |
The class meets for lectures MW 3:25 -- 4:40 pm, B&L 269. Scanned
lecture notes will be available through this website.
There will be recitation on Tuesdays 5-6:15pm in Meliora 219 and Wednesdays 7:30-8:45pm in Meliora 218. Attendance at one of the recitations is strongly encouraged. Andrew Whitbeck ( awhitbe2@mail.rochester.edu) is the recitation TI.
Workshop module 1
Workshop module 2
Workshop module 3
Workshop module 4
Workshop module 5
The main text is Introductory Quantum Mechanics, 4th edition Richard L. Liboff.
Lectures will largely follow the text, with some deviations.
In addition to the main text, the following books are
on reserve at the POA library:
The Principles of Quantum Mechanics,
by P.A.M. Dirac
Quantum Mechanics, by C. Cohen-Tannoudji, B. Diu, and F. Laloe
Quantum Mechanics,
by Eugen Merzbacher
The final grade will be determined as follows:
50% Homework.
There will be weekly homework assignments, which will be due in class, usually
on Thursday. You are encouraged to discuss the problems with your classmates, but each student must write the problems up separately.
Homework turned in after class, will be penalized 15%.
Homework will not be accepted later than the class meeting one week past
the original due date.
Homework solutions will be available through this website.
20% Midterm Exam. There will be one mid-term exam at a
date to be announced.
30% Final Exam. The final exam will be held as scheduled by the
Registrar:
Monday, May 7, 2007, 8:30 am.
Dan Miner ( dminer@pas.rochester.edu ) is the
teaching assistant who will grade homework. Andrew Whitbeck ( awhitbe2@mail.rochester.edu) is the recitation TI.
Prof. Orr: Tuesday, 2-3pm and by appointment in
B&L 451. (Except 2/27: 1:15-2:15pm.)
TA Dan Miner: Monday, 5-6pm in the POA library.
Send mail to Professor Orr:
orr@pas.rochester.edu
Send mail to TA Dan Miner:
dminer@pas.rochester.edu
Send mail to TI Drew Whitbeck:
awhitbe2@mail.rochester.edu
Homework 1: pdf
; solutions
Homework 2: pdf ;
solutions
Homework 3: pdf (2 pages); solutions
Correction to HW#3 Question 6 (Liboff 5.2), part (c)
The inner product of psi and phi_5
should be -8*sqrt(15)/(5*pi)^3, which leads to a probability of 6.4
*10^-5. When we multiply by 1000 particles we see that there are .06
particles in that state i.e. 0 particles in that state
Homework 4: pdf; solutions
Correction to Question 6, part (c)
When p^2 is expanded, there is a
factor of (m1 + m2) ^2 missing in the denominator, which when carried
through makes
f(m1, m2) = m1m2/(m1+m2) or the reduced mass. So the final answer
should be
H = P/M + p/u + V where P is the center-of-mass momentum, M is the
total mass, p is the relative momentum and u is the reduced mass.
Homework 5: pdf ; solutions
Homework 6: pdf; solutions
Homework 7: pdf
; solutions
Homework 8: pdf
; solutions
Homework 9: pdf ; solutions
Homework 10: pdf ; solutions
Homework 11: pdf; solutions
2007 Midterm exam solutions
Final exam will be given in B&L 269 on Monday May 7 from
8:30-11:30am.
Final is comprehensive: it covers all material discussed in
class. More emphasis will be given
to material covered after the midterm.
One 8.5 by 11 ``cheat sheet'' will be allowed. Otherwise no
books, notebooks, or calculators will be permitted.
Copies of last year's exam are available here and here are the
solutions